In this paper we investigate the representation of integrals involving the product of the Legendre Chi function, polylogarithm function and log function. We will show that in many cases these integrals take an explicit form involving the Riemann zeta function, the Dirichlet Eta function, Dirichlet lambda function and many other special functions. Some examples illustrating the theorems will be detailed.

Anthony Sofo

Applicable Analysis and Discrete Mathematics

适用的分析和离散数学被索引、摘要和全面审查：WEB OF SCIENCE、CURRENT CONTENTS/PHYSICAL、CHEMICAL & EARTH SCIENCES (CC/PC&ES)、MATHEMATICAL REVIEWS/MATHSCINET、ZENTRALBLATT FÜR MATHEMATIK、REFERATIVNY ZHURNAL-VINITI。它包含在 CITATION INDEX-EXPANDED (SCIE)、ISI ALERTING SERVICE 和美国数学会的数字数学注册表中 (HTTP://WWW.AMS.ORG/DMR/)。

The journal 'Applicable Analysis and Discrete Mathematics' is indexed, abstracted, and comprehensively reviewed in several major databases, including: WEB OF SCIENCE, CURRENT CONTENTS/PHYSICAL, CHEMICAL & EARTH SCIENCES (CC/PC&ES), MATHEMATICAL REVIEWS/MATHSCINET, ZENTRALBLATT FÜR MATHEMATIK, and REFERATIVNY ZHURNAL-VINITI. It is also included in the CITATION INDEX-EXPANDED (SCIE), ISI ALERTING SERVICE, and the American Mathematical Society's Digital Mathematics Registry (http://www.ams.org/dmr/).

《Applicable Analysis and Discrete Mathematics》期刊被多个重要数据库索引、摘要和全面审查，包括：WEB OF SCIENCE、CURRENT CONTENTS/PHYSICAL、CHEMICAL & EARTH SCIENCES (CC/PC&ES)、MATHEMATICAL REVIEWS/MATHSCINET、ZENTRALBLATT FÜR MATHEMATIK以及REFERATIVNY ZHURNAL-VINITI。该期刊还包含在CITATION INDEX-EXPANDED (SCIE)、ISI ALERTING SERVICE以及美国数学会的数字数学注册表中 (http://www.ams.org/dmr/)。

Category	Quartile
数学	4
数学, 数学	4
数学, 应用数学	4

Families of log Legendre Chi function integrals

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Journal Info

Category	Quartile
MATHEMATICS, APPLIED	3